Which set is closed under the operation multiplication?

1 answer:

3 0

I have another set of choices here:

A. {0.5, 1, 2}

B. {1, 2, 4}

C. {1, 2, 3, 4, 5}

D. {0}

If you multiply two numbers from a closed set the answer is in the set.
So A is not closed because 2 x 2 = 4 which isn't in the set. Only 0.5, 1, and 2 are in set A. 

Try multiplying the largest numbers in sets B, C, and D by themselves. You will soon discover the closed set.

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Lloyd is arranging his science project, math project, and art project on his desk. The tree diagram below shows the sample space

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The tree diagram is constructed and attached below in the image.

First we have to make a choice out of 3 subjects, so the probability of choosing art as the first subject is 1/3.

Once we have chosen art as the first subject, we have two choices. So the probability of choosing each option now is 1/2. Thus, the probability of choosing math, science is 1/2.

The probability of choosing the projects in order of art, math, science = 1/3 x 1/2 = 1/6

Therefore, the probability that the projects are in order of art, math, science is 1/6 (one over 6). So first option gives the correct answer.